Making a collatz program automate the boring stuff

Here's what I came up with:

import sys

def collatz(number):
    if number % 2 == 0:           # Even number
        result = number // 2
    elif number % 2 == 1:         # Odd number
        result = 3 * number + 1

    while result == 1:            # It would not print the number 1 without this loop
        print(result)
        sys.exit()                # So 1 is not printed forever.

    while result != 1:            # Goes through this loop until the condition in the previous one is True.
        print(result)
        number = result           # This makes it so collatz() is called with the number it has previously evaluated down to.
        return collatz(number)    

print('Enter a number: ')         # Program starts here!
try:
    number = int(input())         # ERROR! if a text string or float is input.
    collatz(number)
except ValueError:
    print('You must enter an integer type.')

                                  # Fully working!

def collatz(number):

    if number % 2 == 0:
        print(number // 2)
        return number // 2

    elif number % 2 == 1:
        result = 3 * number + 1
        print(result)
        return result

n = input("Give me a number: ")
while n != 1:
    n = collatz(int(n))

Output:

Give me a number: 3
10
5
16
8
4
2
1

Give me a number: 11
34
17
52
26
13
40
20
10
5
16
8
4
2
1